In a study of the effectiveness of certain exercises inweight reduction, a group of 16 persons engaged in theseexercises for one month and showed the following results:Weight Weight Weight Weightbefore after before after211 198 172 166180 173 155 154171 172 185 181214 209 167 164182 179 203 201194 192 181 175160 161 245 233182 182 146 142 Use the 0.05 level of significance to test the null hypoth-esis μ1 − μ2 = 0 against the alternative hypothesis μ1 − μ2 > 0, and thus judge whether the exercises areeffective in weight reduction.

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